Classification of Lorentz surfaces with parallel mean curvature vector in non-flat pseudo-Riemannian space forms \(S_2^4(1)\) and \(H_2^4(-1)\) (Q386823)
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scientific article; zbMATH DE number 6237300
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of Lorentz surfaces with parallel mean curvature vector in non-flat pseudo-Riemannian space forms \(S_2^4(1)\) and \(H_2^4(-1)\) |
scientific article; zbMATH DE number 6237300 |
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Classification of Lorentz surfaces with parallel mean curvature vector in non-flat pseudo-Riemannian space forms \(S_2^4(1)\) and \(H_2^4(-1)\) (English)
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10 December 2013
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The authors complete the classification of Lorentz surfaces with parallel mean curvature vector in a 4-dimensional neutral indefinite space form of index 2. They show 19 families of surfaces in the de-Sitter and in the anti de-Sitter space to which these surfaces must belong.
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Lorentz surface
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parallel mean curvature vector
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pseudo Riemannian space form
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